What is the volume of a square pyramid that is 15 cm tall and has a base area of 16 square centimeters?

The volume of the square pyramid is

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

where

B is the area of the base of pyramid

h is the height of the pyramid

in this problem we have

substitute the values

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb